Saddle points and rare collisions under scaling approach in a Fermi accelerator with two nonlinear terms

Juliano A. de Oliveira and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 7, 1586-1592

Abstract: Rare collisions of a classical particle bouncing between two walls are studied. The dynamics is described by a two-dimensional, nonlinear and area-preserving mapping in the variables velocity and time at the instant that the particle collides with the moving wall. The phase space is of mixed type preventing diffusion of the particle to high energy. Successive and therefore rare collisions are shown to have a histogram of frequency which is scaling invariant with respect to the control parameters. The saddle fixed points are studied and shown to be scaling invariant with respect to the control parameters too.

Keywords: Fermi accelerator; Rare collisions; Saddle fixed points (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:7:p:1586-1592

DOI: 10.1016/j.physa.2012.12.012

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